Friedmann Robertson Walker models with Conformally Coupled Massive Scalar Fields are Non-integrable

2006/11/22 by Leandro Alves Coelho, L. A. A. Coelho, Coelho, L. A. A. +5
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Nonlinear Waves and Solitons #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0611121

5 pages

arxiv created 2006/11/22 · openalex publication_date 2006/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we use a recently developed nonintegrability theorem of Morales and Ramis to prove that the Friedmann Robertson Walker cosmological model with a conformally coupled massive scalar field is nonintegrable.

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• Global dynamics of cosmological scalar fields -- Part II
• Integrable Cosmological Models with an Arbitrary Number of Scalar Fields
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